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Proof and Computation
(Englisch)
Nato ASI Series (closed) 139, NATO ASI Subseries F: 139
Schwichtenberg, Helmut

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Proof and Computation

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Produktbeschreibung

Proceedings of the NATO Advanced Study Institute on Proof and Computation, held in Marktoberdorf, Germany, July 20 - August 1, 1993
Logical concepts and methods are of growing importance in many areas of computer science. The proofs-as-programs paradigm and the wide acceptance of Prolog show this clearly. The logical notion of a formal proof in various constructive systems can be viewed as a very explicit way to describe a computation procedure. Also conversely, the development of logical systems has been influenced by accumulating knowledge on rewriting and unification techniques. This volume contains a series of lectures by leading researchers giving a presentation of new ideas on the impact of the concept of a formal proof on computation theory. The subjects covered are: specification and abstract data types, proving techniques, constructive methods, linear logic, and concurrency and logic.|This volume contains a series of lectures by leading researchers on the impact of the concept of a formal proof on computation theory under several aspects: specification and abstract data types, proving techniques, constructive methods, linear logic, and concurrency and logic.
Program Development by Proof Transformation.- Concurrent Processes and Petri Nets.- Using Reflection to Explain and Enhance Type Theory.- On Geometry of Interaction.- Behavioural Specifications.- A Deductive Approach to Logic Programming.- Rewrite Proofs and Computations.- Action Structures and the Pi Calculus.- Linear Logic and Computation: A Survey.- Computable Functions on Stream Algebras.- The Proof Theoretic Complexity of Recursive Programs.



Inhaltsverzeichnis



Program Development by Proof Transformation.- Concurrent Processes and Petri Nets.- Using Reflection to Explain and Enhance Type Theory.- On Geometry of Interaction.- Behavioural Specifications.- A Deductive Approach to Logic Programming.- Rewrite Proofs and Computations.- Action Structures and the Pi Calculus.- Linear Logic and Computation: A Survey.- Computable Functions on Stream Algebras.- The Proof Theoretic Complexity of Recursive Programs.


Klappentext



Logical concepts and methods are of growing importance in many areas of computer science. The proofs-as-programs paradigm and the wide acceptance of Prolog show this clearly. The logical notion of a formal proof in various constructive systems can be viewed as a very explicit way to describe a computation procedure. Also conversely, the development of logical systems has been influenced by accumulating knowledge on rewriting and unification techniques. This volume contains a series of lectures by leading researchers giving a presentation of new ideas on the impact of the concept of a formal proof on computation theory. The subjects covered are: specification and abstract data types, proving techniques, constructive methods, linear logic, and concurrency and logic.




This volume contains a series of lectures by leading researchers on the impact of the concept of a formal proof on computation theory under several aspects: specification and abstract data types, proving techniques, constructive methods, linear logic, and concurrency and logic.



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